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20643631104 = 21233154193
BaseRepresentation
bin10011001110011101…
…001101000000000000
31222021200122010010210
4103032131031000000
5314234232143404
613252240354120
71330365653265
oct231635150000
958250563123
1020643631104
118833878658
124001615940
131c3cb3ba45
14ddb98926c
1580c506689
hex4ce74d000

20643631104 has 104 divisors (see below), whose sum is σ = 56819590912. Its totient is φ = 6659112960.

The previous prime is 20643631061. The next prime is 20643631111. The reversal of 20643631104 is 40113634602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 353832 + ... + 408024.

Almost surely, 220643631104 is an apocalyptic number.

20643631104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20643631104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28409795456).

20643631104 is an abundant number, since it is smaller than the sum of its proper divisors (36175959808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20643631104 is an equidigital number, since it uses as much as digits as its factorization.

20643631104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54251 (or 54229 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 20643631104 in words is "twenty billion, six hundred forty-three million, six hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2048 2976 3072 3968 4096 5952 6144 7936 11904 12288 15872 23808 31744 47616 54193 63488 95232 108386 126976 162579 190464 216772 325158 380928 433544 650316 867088 1300632 1679983 1734176 2601264 3359966 3468352 5039949 5202528 6719932 6936704 10079898 10405056 13439864 13873408 20159796 20810112 26879728 27746816 40319592 41620224 53759456 55493632 80639184 83240448 107518912 110987264 161278368 166480896 215037824 221974528 322556736 332961792 430075648 645113472 665923584 860151296 1290226944 1720302592 2580453888 3440605184 5160907776 6881210368 10321815552 20643631104